4140400004 has 48 divisors (see below), whose sum is σ = 7919562672. Its totient is φ = 1882632192.

The previous prime is 4140399983. The next prime is 4140400009. The reversal of 4140400004 is 4000040414.

It can be written as a sum of positive squares in 8 ways, for example, as 976562500 + 3163837504 = 31250^2 + 56248^2 .

It is not an unprimeable number, because it can be changed into a prime (4140400009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014512 + ... + 1018584.

It is an arithmetic number, because the mean of its divisors is an integer number (164990889).

Almost surely, 2^4140400004 is an apocalyptic number.

It is an amenable number.

4140400004 is a deficient number, since it is larger than the sum of its proper divisors (3779162668).

4140400004 is a wasteful number, since it uses less digits than its factorization.

4140400004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4140400004 is about 64345.9400739472. The cubic root of 4140400004 is about 1605.7604861310.

Adding to 4140400004 its reverse (4000040414), we get a palindrome (8140440418).

The spelling of 4140400004 in words is "four billion, one hundred forty million, four hundred thousand, four".